Math Is Fun Forum

nycguitarguy

Member

Registered: 2024-02-24

Posts: 542

Graph of Two Functions

How do I use the given graph to answer each question?

See image here:

[ img ]https://i.imgur.com/a/gpB0TL4.jpeg[ /img ]

Last edited by nycguitarguy (2024-03-16 02:22:16)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,196

Re: Graph of Two Functions

(f+g) (2)

I think this means f(2) + g(2) 

We're told that (2,1) is on the curve so f(2) = 1

We're told that (2,2) is on the line so g(2) = 2

So (f+g)(2) = 1 + 2 = 3

And so on.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

nycguitarguy

Member

Registered: 2024-02-24

Posts: 542

Re: Graph of Two Functions

(f+g) (2)

I think this means f(2) + g(2) 

We're told that (2,1) is on the curve so f(2) = 1

We're told that (2,2) is on the line so g(2) = 2

So (f+g)(2) = 1 + 2 = 3

And so on.

Bob

Perfect. I will do the rest and, if tune allows, post the rest here.

phrontister

Real Member

From: The Land of Tomorrow

Registered: 2009-07-12

Posts: 4,823

Re: Graph of Two Functions

How do I use the given graph to answer each question?

See image here:

[ img ]https://i.imgur.com/a/gpB0TL4.jpeg[ /img ]

I assume you wanted the image to display...which it can't, for 2 reasons:
   1. Your img tags have spaces, which render them invalid.
   2. The link is to the webpage containing the image and not to the image itself.

The image link (see below) is very different from your webpage link, as you can see:

[img]https://i.imgur.com/7NtStGD.jpeg[/img]

Just copy the above text and paste it into a post to display the image.

Alternatively, you could've put your webpage link in url tags, like so:

[url=https://i.imgur.com/a/gpB0TL4]Graph of Two functions[/url]

Here it is: Graph of Two functions.
   1. The link is clickable, making it easier to view the webpage.
   2. I gave the link a title (ie, your thread title), and the link shows how that's done.

Last edited by phrontister (2024-03-17 02:00:44)

---

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

nycguitarguy

Member

Registered: 2024-02-24

Posts: 542

Re: Graph of Two Functions

How do I use the given graph to answer each question?

See image here:

[ img ]https://i.imgur.com/a/gpB0TL4.jpeg[ /img ]

I assume you wanted the image to display...which it can't, for 2 reasons:
   1. Your img tags have spaces, which render them invalid.
   2. The link is to the webpage containing the image and not to the image itself.

The image link (see below) is very different from your webpage link, as you can see:

https://i.imgur.com/7NtStGD.jpeg

Just copy that link and paste it into a post to display the image.

Alternatively, you could've put your webpage link in url tags, like so:

[url=https://i.imgur.com/a/gpB0TL4]Graph of Two functions[/url]

Here it is: Graph of Two functions.
   1. The link is clickable, making it easier to view the webpage.
   2. I gave the link a title (ie, your thread title), and the link shows how that's done.

I don't know what you mean by copy and paste the link.

phrontister

Real Member

From: The Land of Tomorrow

Registered: 2009-07-12

Posts: 4,823

Re: Graph of Two Functions

I don't know what you mean by copy and paste the link.

I've changed my wording in that post to try and make it clearer. It's now:

[img]https://i.imgur.com/7NtStGD.jpeg[/img]

Just copy the above text and paste it into a post to display the image.

---

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

phrontister

Real Member

From: The Land of Tomorrow

Registered: 2009-07-12

Posts: 4,823

Re: Graph of Two Functions

Following on from my previous post...

This is the link text from my previous post:

[img]https://i.imgur.com/7NtStGD.jpeg[/img]

Clicking the 'Preview' button shows that the image will be HUGE, so I'll place the size modifier letter "l" (for "large") before the image extension (".jpeg") to reduce the image size from huge to large (I described that Imgur feature here).

With the size modifier "l" added, my link (including img tags) becomes:

[img]https://i.imgur.com/7NtStGDl.jpeg[/img]

Now I'll copy that, and paste it into this post.

Here goes...

And there's the image.

Last edited by phrontister (2024-03-17 02:45:43)

---

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

nycguitarguy

Member

Registered: 2024-02-24

Posts: 542

Re: Graph of Two Functions

Following on from my previous post...

This is the link text from my previous post:

[img]https://i.imgur.com/7NtStGD.jpeg[/img]

Clicking the 'Preview' button shows that the image will be HUGE, so I'll place the size modifier letter "l" (for "large") before the image extension (".jpeg") to reduce the image size from huge to large (I described that Imgur feature here).

With the size modifier "l" added, my link (including img tags) becomes:

[img]https://i.imgur.com/7NtStGDl.jpeg[/img]

Now I'll copy that, and paste it into this post.

Here goes...
https://i.imgur.com/7NtStGDl.jpeg
And there's the image.

Ok. I will to upload another graph later or tomorrow.

nycguitarguy

Member

Registered: 2024-02-24

Posts: 542

Re: Graph of Two Functions

(f+g) (2)

I think this means f(2) + g(2) 

We're told that (2,1) is on the curve so f(2) = 1

We're told that (2,2) is on the line so g(2) = 2

So (f+g)(2) = 1 + 2 = 3

And so on.

Bob

Hi Bob.

Here are the rest.

b. (f + g)(4) = f(4) + g(4) = 1 + (-3) = -2

c. (f - g)(6) = f(6) - g(6) = 6 - 1 = 5

d. (g - f)(6) = g(6) - f(6) = 6 - 0 = 6

e. (f • g)(2) = f(2) • g(2) = 2 • 1 = 2

f. (f/g)(4) = f(4)/g(4) = 1/-3 = -1/3.

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,196

Re: Graph of Two Functions

b e and f look ok.

c and d ought to be same except one is minus the other.

Check out your values for g(6) and f(6) carefully.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

nycguitarguy

Member

Registered: 2024-02-24

Posts: 542

Re: Graph of Two Functions

b e and f look ok.

c and d ought to be same except one is minus the other.

Check out your values for g(6) and f(6) carefully.

Bob

c. 6 - 1 or 5

d. 1 - 6 or -5

Got it!

Bob

Administrator

Registered: 2010-06-20

Posts: 10,196

Re: Graph of Two Functions

The points for these two are (6,1) and (6,0).  The dependent numbers are 1 and 0,  ....... no 6 please.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

nycguitarguy

Member

Registered: 2024-02-24

Posts: 542

Re: Graph of Two Functions

The points for these two are (6,1) and (6,0).  The dependent numbers are 1 and 0,  ....... no 6 please.

Bob

Yes, you are right.

Then, 1 - 0 = 1 and 0 - 1 = -1.